Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bg |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1809064860000000 = -1 · 28 · 3 · 57 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35713,3292031] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1992:1] |
Generators of the group modulo torsion |
j |
-322391399464009/115780151040 |
j-invariant |
L |
6.964425368274 |
L(r)(E,1)/r! |
Ω |
0.44266483909278 |
Real period |
R |
0.98330959921927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690j1 |
Quadratic twists by: 5 |